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Find x if nPr=x nCr - Mathematics and Statistics

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प्रश्न

Find x if `""^"n""P"_"r" = "x"  ""^"n""C"_"r"`

योग

उत्तर

`""^"n""P"_"r" = "x"  ""^"n""C"_"r"`

x = `(""^"n""P"_"r")/(""^"n""C"_"r")`

= `(("n"!)/(("n" - "r")!))/(("n"!)/(("n" - "r")!"r"!))`

= `1/("r"!)`

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Properties of Combinations
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Permutations and Combinations - Exercise 6.7 [पृष्ठ ९०]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 6 Permutations and Combinations
Exercise 6.7 | Q 6 | पृष्ठ ९०

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